Name Date Class Practice A

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1 Practice A Find the volume V of each cylinder to the nearest cubic unit Which of the following could be the measurement for the volume of a can: 20 centimeters, 20 cubic centimeters, or 20 square centimeters? 11. The diameter of a tube is 4 centimeters. It is 40 centimeters tall. What is the volume of the tube?

2 Practice B Find the volume V of each cylinder to the nearest cubic unit A cylindrical package of oatmeal is 20 centimeters tall. The diameter of its base is 10 centimeters. About how much oatmeal does the package hold? 11. The volume of a can is about in 3. The radius of its base is 2 inches. How tall is the can?

3 Practice C Find the volume V of each cylinder to the nearest cubic unit Find the volume of each cylinder using the information given. 7. d = 39.2 cm; h = 48.5 cm 8. r = in.; h = 25 in. _ 9. r = 15 m; h = 68 m 10. d = 12 ft.; h = 11.7 ft _ 11. The base of a cylinder has a circumference of inches. The height of the cylinder is 10 inches. What is the volume of the cylinder? 12. The height of a cylinder is 3 times greater than the diameter of its base. The area of the base is 78.5 cm 2. What is the volume of the cylinder? Use 3.14 for π.

4 Review for Mastery You can use what you know about area to help you find the volume of a cylinder. To find the volume of a cylinder, first find the area of the circular base. A = π r 2 Use 3.14 for π square units The area of the circular base is about square units. Next, multiply your answer by the height of the cylinder. The height of the cylinder is 5 units, so multiply by = So, the volume of the cylinder is about cubic units. Find the volume of each cylinder

5 Challenge Champion Trees Trees are among Earth s largest and oldest living things. The National Register of Big Trees measures trees throughout the United States to find the largest of each species the champions. The four huge trees described below are the only champions that have been listed in the register since the program began in Use the register s data to find the circumference and volume of each champion American tree trunk to the nearest foot and cubic foot. General Sherman Giant Sequoia, California Circumference: Volume: Jardine Juniper Rocky Mountain Juniper, Utah Circumference: Volume: Bennett Juniper Western Juniper, California Circumference: Volume: Wye Oak White Oak, Maryland Circumference: Volume:

6 Problem Solving Write the correct answer. 1. The Hubble Space Telescope was launched into space in Shaped like a cylinder, the telescope is 15.9 meters long, with a diameter of 4.2 meters. To the nearest whole cubic meter, what is the volume of the Hubble Space Telescope? 3. In 1902 an American music company built the world s largest music recording cylinder. Nicknamed Brutus, the cylinder is 5 feet tall, with a 2-foot diameter. What is the volume of the Brutus cylinder? 2. The Living Color aquarium in Bermuda is the largest freestanding cylindrical aquarium in the Western Hemisphere. With a 10-foot diameter and an 18-foot height, the aquarium holds 10,400 gallons of water! What is the aquarium s volume in cubic feet? 4. The world s largest glass of orange juice was filled in Florida in At 8 feet tall and with a 2-foot radius, the glass held about 700 gallons of orange juice. What was the volume of that huge glass of orange juice? Circle the letter of the correct answer. 5. A large can of soda is 7.5 inches tall and has a 3-inch diameter. A small can of soda is 5 inches tall with a 2.5-inch diameter. To the nearest cubic inch, how much more soda does the large can hold? A 53 in 3 more soda B 28 in 3 more soda C 25 in 3 more soda D 20 in 3 more soda 7. The maximum length for an official professional baseball bat is 36 inches. Its maximum diameter is 2.6 inches. To the nearest cubic inch, what is the maximum volume of a professional baseball bat? A 21 in 3 C 191 in 3 B 119 in 3 D 764 in 3 6. A cylindrical candle is tightly packed in a rectangular box with a volume of 144 in 3. Which of these could be the dimensions of the candle? F h = 6 in.; r = 3 in. G h = 2 in.; r = 5 in. H h = 4 in.; r = 3 in. J h = 3 in.; r = 4 in. 8. A can of tennis balls is 21 centimeters tall and has a diameter of 8 centimeters. What is the volume of the tennis ball can? F 17, cm 3 G 1, cm 3 H cm 3 J cm 3

7 Reading Strategies Analyze Information The volume of a cylinder is measured in cubic units. The area of the base gives the cubic units in the first layer. The height shows the number of layers. The base multiplied by the height is the volume of the cylinder. Area of circular base Area of base height V = area of base height 1. What measurement shows the number of cubic units in the first layer of a cylinder? 2. What measurement shows the number of layers in a cylinder? 3. How do you find the volume of a cylinder? 4. How do you find the area of the base of a cylinder?

8 Puzzles, Twisters & Teasers Ice Ages Find the volume of each cylinder. Match the letters to the correct answers to solve the riddle. Use 3.14 for π and round to the nearest tenth. 1. S 2. R 3. O 4. T 5. U 6. P 7. N 8. A How does one dinosaur tell another to hurry up? , , , , , ,014.4

9 Answers LESSON Practice A 1. V 16 in 3 2. V 75 ft 3 3. V 57 yd 3 4. V 352 m 3 5. V 254 cm 3 6. V 63 yd 3 7. V 236 cm 3 8. V 226 yd 3 9. V 283 ft cubic centimeters 11. about cm 3 Practice B 1. V 1,356 in 3 2. V 553 ft 3 3. V 565 yd 3 4. V 94 m 3 5. V 53 cm 3 6. V 135 yd 3 7. V 4,082 cm 3 8. V 21,704 yd 3 9. V 628 ft about 1,570 cubic centimeters of oatmeal inches Practice C 1. V 87 in 3 2. V 399 ft 3 3. V 25,850 cm 3 4. V 114 m 3 5. V 1,500 yd 3 6. V 141 m ,504 cm ,672 in ,042 m ,323 ft in ,355 in 3 CODE Challenge General Sherman: 85 ft; 151,582 ft 3 Jardine Jupiter: 21 ft; 1,368 ft 3 Bennett Jupiter: 40 ft; 11,061 ft 3 Wye Oak: 32 ft; 7,840 ft 3 Problem Solving 1. about 220 m ,413 ft ft ft 3 5. B 6. H 7. C 8. G Reading Strategies 1. the area of its base 2. the height of the cylinder 3. Find the area of the base of the cylinder and multiply it by the height of the cylinder. 4. Use the formula for the area of circle; A = πr 2 Puzzles, Twisters & Teasers 1. 3, , , ,578.1 P R O N T O S A U R U S Review for Mastery cubic units cubic units cubic units 4. 1,130.4 cubic units